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SIAMCO
2010
78views more  SIAMCO 2010»
13 years 6 months ago
Null Controllability of a Parabolic System with a Cubic Coupling Term
We consider a system of two parabolic equations with a forcing control term present in one equation and a cubic coupling term in the other one. We prove that the system is locally...
Jean-Michel Coron, Sergio Guerrero, Lionel Rosier
SIAMCO
2010
119views more  SIAMCO 2010»
13 years 6 months ago
Feedback Stabilization of a Fluid-Structure Model
We study a system coupling the incompressible Navier-Stokes equations in a 2D rectangular type domain with a damped Euler-Bernoulli beam equation, where the beam is a part of the u...
Jean-Pierre Raymond
SIAMCO
2010
201views more  SIAMCO 2010»
13 years 6 months ago
Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon
For discrete time nonlinear systems satisfying an exponential or finite time controllability assumption, we present an analytical formula for a suboptimality estimate for model pre...
Lars Grüne, Jürgen Pannek, Martin Seehaf...
SIAMCO
2010
114views more  SIAMCO 2010»
13 years 6 months ago
Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
In arbitrary dimension, we consider the semi-discrete elliptic operator -2 t + AM , where AM is a finite difference approximation of the operator - x((x) x). For this operator we d...
Franck Boyer, Florence Hubert, Jérôme...
SIAMCO
2010
132views more  SIAMCO 2010»
13 years 6 months ago
Continuous-Time Average-Preserving Opinion Dynamics with Opinion-Dependent Communications
We study a simple continuous-time multiagent system related to Krause's model of opinion dynamics: each agent holds a real value, and this value is continuously attracted by e...
Vincent D. Blondel, Julien M. Hendrickx, John N. T...
SIAMCO
2010
153views more  SIAMCO 2010»
13 years 6 months ago
Optimal Control for an Elliptic System with Polygonal State Constraints
This work is devoted to stationary optimal control problems with polygonal constraints on the components of the state. Existence of Lagrange multipliers, of different regularity, i...
Karl Kunisch, Kewei Liang, Xiliang Lu
SIAMCO
2010
84views more  SIAMCO 2010»
13 years 6 months ago
Impulse Control of Multidimensional Jump Diffusions
This paper studies regularity properties of the value function for an infinite-horizon discounted cost impulse control problem, where the underlying controlled process is a multidi...
Mark H. A. Davis, Xin Guo, Guoliang Wu
SIAMCO
2010
169views more  SIAMCO 2010»
13 years 6 months ago
Shape Derivative of Drag Functional
Abstract. In the paper compressible, stationary Navier-Stokes (N-S) equations are considered. The model is well-posed, there exist weak solutions in bounded domains, subject to inh...
Pavel I. Plotnikov, Jan Sokolowski
SIAMCO
2010
127views more  SIAMCO 2010»
13 years 6 months ago
Tracking with Prescribed Transient Performance for Hysteretic Systems
Tracking of reference signals (assumed bounded with essentially bounded derivative) is considered for a class of single-input, single-output, nonlinear systems, described by a func...
Achim Ilchmann, Hartmut Logemann, Eugene P. Ryan
SIAMCO
2010
125views more  SIAMCO 2010»
13 years 6 months ago
Optimal Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems by Output Injection
We study the optimal input-output stabilization of discrete time-invariant linear systems in Hilbert spaces by output injection. We show that a necessary and sufficient condition ...
Mark R. Opmeer, Olof J. Staffans